18193442400 has 720 divisors, whose sum is σ = 79854888960. Its totient is φ = 3937766400.

The previous prime is 18193442369. The next prime is 18193442401. The reversal of 18193442400 is 424439181.

It is a happy number.

18193442400 is a `hidden beast` number, since 181 + 9 + 34 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18193442401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8617345 + ... + 8619455.

It is an arithmetic number, because the mean of its divisors is an integer number (110909568).

Almost surely, 2^18193442400 is an apocalyptic number.

18193442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18193442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927444480).

18193442400 is an abundant number, since it is smaller than the sum of its proper divisors (61661446560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18193442400 is a wasteful number, since it uses less digits than its factorization.

18193442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18193442400 in words is "eighteen billion, one hundred ninety-three million, four hundred forty-two thousand, four hundred".